Answer:
He did drive the truck for 297 miles.
Explanation:
The cost of driving x miles is modeled by a linear function in the following format:
C(x) = ax + b
In which a is the cost per mile and b is the flat cost.
There was a base fee of $16.95, and there was an additional charge of 94 cents for each mile driven.
This means that b = 16.95, a = 0.94. So
C(x) = 0.94x + 16.95
Kevin had to pay $296.13 when he returned the truck. For how many miles did he drive the truck?
We have to find x for which C(x) = 296.13. So
C(x) = 0.94x + 16.95
296.13 = 0.94x + 16.95
0.94x = 296.13 - 16.95
0.94x = 279.18
x = 279.18/0.94
x = 297
He did drive the truck for 297 miles.